Elliptic curve isogeny class with LMFDB label 664.b (Cremona label 664c)

• Label: 664.b
• Number of curves: $1$
• Conductor: $664$
• CM: no
• Rank: $1$

Elliptic curves in class 664.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
664.b1	664c1	\([0, -1, 0, -3, 4]\)	\(-256000/83\)	\(-1328\)	\([]\)	\(16\)	\(-0.68809\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 664.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 664.b do not have complex multiplication.

Modular form 664.2.a.b